Perspective on gravitational self-force analyses
Perspective on gravitational self-force analyses
复制标题
引力自力分析的视角
DOI：
10.1088/0264-9381/22/15/006
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发表时间：
2005
影响因子：
3.5
通讯作者：
S. Detweiler
中科院分区：
文献类型：
--
作者：
S. Detweiler
质量为μ的点粒子在测地线上运动会产生时空度规间隙的扰动hab，该扰动hab在粒子处发散。给出了hab的奇异μ/r部分及其时空引起的潮汐畸变的简单表达式。该奇异部分hSab在不同的坐标系和不同的量规中描述。从hab中减去hSab留下常规余数hRab。粒子自身引力场对粒子的自作用力将O（μ）处的世界线调整为gab + hRab的测地线;这种调整包括辐射反应的所有影响。对于粒子是一个非旋转的小黑洞的情形，我们给出了爱因斯坦方程解的一致有效近似，当μ → 0时，余项为O（μ2）。一个例子介绍了涉及到的实际步骤，在一个自我的力量计算。规范自由度在微扰分析中引入了模糊性。然而，物理上有趣的问题避免了这种模糊性。
A point particle of mass μ moving on a geodesic creates a perturbation hab, of the spacetime metric gab, that diverges at the particle. Simple expressions are given for the singular μ/r part of hab and its tidal distortion caused by the spacetime. This singular part hSab is described in different coordinate systems and in different gauges. Subtracting hSab from hab leaves a regular remainder hRab. The self-force on the particle from its own gravitational field adjusts the worldline at O(μ) to be a geodesic of gab + hRab; this adjustment includes all of the effects of radiation reaction. For the case that the particle is a small non-rotating black hole, we give a uniformly valid approximation to a solution of the Einstein equations, with a remainder of O(μ2) as μ → 0. An example presents the actual steps involved in a self-force calculation. Gauge freedom introduces ambiguity in perturbation analysis. However, physically interesting problems avoid this ambiguity.